3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material A (MPa) & (S-¹) Tm (°C) 870 0.01 1520 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 980 1 1300 782.7 1E-5 1660 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) 0 = X G (GPa) 1+ B (MPa) 400 1370 498.4 -0.0439T(°C)+85.709 -0.0225 T(°C) +86.003 -0.0241 T(°C)+41.097 : (A+Bɛ¹) 1+ c log (₁ n 0.4 0.164 0.28 с 0.015 0.02 0.028 b (nm) 0.248 0.249 0.295 T-Tref 08 / ) (¹ - (7-T)") 1- Tm-Tref m m 0.5 1.03 1 a 0.5 0.5 0.5 1/2 :)")" 18a²bG² L((A + Bɛ¹)(1 +c log (ê)/((&), ))(1 – ((T – Tref )/(Tm – Tref ))))² - μ 0.38 0.38 0.38 (a) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹, typical for micromachining), please plot and compare the true stress-true strain curves for different materials. A 1 µm wide channel will be cut, so the length parameter, L=10 nm, may be assumed. (b) At a strain rate (¿=10³ s¯¹) with a fixed length parameter (L=10 nm), please plot and compare the true stress-true strain curves of Ti64 at different temperatures (T=25 °C, 400 °C, 1000 °C). (c) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹), please plot and compare the true stress- true strain curves of Ti64 if microfluidic channels with different width need to be made, specifically L=10 nm, 100 nm, 1000 nm.
3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material A (MPa) & (S-¹) Tm (°C) 870 0.01 1520 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 980 1 1300 782.7 1E-5 1660 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) 0 = X G (GPa) 1+ B (MPa) 400 1370 498.4 -0.0439T(°C)+85.709 -0.0225 T(°C) +86.003 -0.0241 T(°C)+41.097 : (A+Bɛ¹) 1+ c log (₁ n 0.4 0.164 0.28 с 0.015 0.02 0.028 b (nm) 0.248 0.249 0.295 T-Tref 08 / ) (¹ - (7-T)") 1- Tm-Tref m m 0.5 1.03 1 a 0.5 0.5 0.5 1/2 :)")" 18a²bG² L((A + Bɛ¹)(1 +c log (ê)/((&), ))(1 – ((T – Tref )/(Tm – Tref ))))² - μ 0.38 0.38 0.38 (a) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹, typical for micromachining), please plot and compare the true stress-true strain curves for different materials. A 1 µm wide channel will be cut, so the length parameter, L=10 nm, may be assumed. (b) At a strain rate (¿=10³ s¯¹) with a fixed length parameter (L=10 nm), please plot and compare the true stress-true strain curves of Ti64 at different temperatures (T=25 °C, 400 °C, 1000 °C). (c) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹), please plot and compare the true stress- true strain curves of Ti64 if microfluidic channels with different width need to be made, specifically L=10 nm, 100 nm, 1000 nm.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
Question
Transcribed Image Text:3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace
industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed
to evaluate selected materials and factors affecting machining process¹. Three material candidates have
been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their
measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C.
Specifically, three factors will need to be evaluated, including different materials, temperature, and size
effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below.
Material
A (MPa)
& (S-¹)
Tm (°C)
870
0.01
1520
422SS (Peyre et al., 2007)
IN718 (Kobayashi et al., 2008)
Ti64 (Umbrello, 2008)
980
1
1300
782.7
1E-5
1660
Material
422SS (CINDAS, 2011)
IN718 (Davis, 1997)
Ti64 (Fukuhara and Sanpei, 1993)
0 =
X
G (GPa)
1+
B (MPa)
400
1370
498.4
-0.0439T(°C)+85.709
-0.0225 T(°C) +86.003
-0.0241 T(°C)+41.097
: (A+Bɛ¹) 1+ c log
(₁
n
0.4
0.164
0.28
с
0.015
0.02
0.028
b (nm)
0.248
0.249
0.295
T-Tref
08 / ) (¹ - (7-T)")
1-
Tm-Tref
m
m
0.5
1.03
1
a
0.5
0.5
0.5
1/2
:)")"
18a²bG²
L((A + Bɛ¹)(1 +c log (ê)/((&), ))(1 – ((T – Tref )/(Tm – Tref ))))²
-
μ
0.38
0.38
0.38
(a) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹, typical for micromachining), please plot
and compare the true stress-true strain curves for different materials. A 1 µm wide channel will be cut, so
the length parameter, L=10 nm, may be assumed.
(b) At a strain rate (¿=10³ s¯¹) with a fixed length parameter (L=10 nm), please plot and compare the true
stress-true strain curves of Ti64 at different temperatures (T=25 °C, 400 °C, 1000 °C).
(c) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹), please plot and compare the true stress-
true strain curves of Ti64 if microfluidic channels with different width need to be made, specifically L=10
nm, 100 nm, 1000 nm.
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